Math Logic Puzzles (4th grade) - Cobb Learning

Logic PUZZLES

Math

4th grade enrichment

© Christy Howe

Table of ContentsTitle Page #

Cover p. 1

Table of Contents p. 2

Alignment to the Common Core State

Standards

p.3

Introduction & Teacher Tools pp. 4-7

Cover Page for Student Packet p. 8

Go Green! p. 9

Play Ball! p. 10

Puppy Love p. 11

Movie Night p. 12

Street Smarts p. 13

Enjoy the Ride! p. 14

Road Trip p. 15

Rockin’ Readers p. 16

Piece of Cake! p. 17

Pool Party p. 18

Brownie Points p. 19

Paper Tower Tournament p. 20

Weird Watermelons p. 21

A Polygon Party p. 22

Answer Key pp. 23-25

Thank You & Credits p. 26

© 2016 Christy Howe – Creative Classroom Tools

Common core alignment

4.O

A.4

4.N

BT

.2

4.N

BT

.3

4.N

BT

.4

4.N

BT

.5

4.N

BT

.6

4.N

F.1

4.N

F.2

4.M

D.1

4.M

D.3

4.G

.1

4.G

.2

Go Green! S S S P S

Play Ball! S P S

Puppy Love S P S P

Movie Night S P S

Street Smarts S S S S P

Enjoy the Ride! S S S P

Road Trip S S S P P P

Rockin’ Readers

S P

Piece of Cake! P

Pool Party S P

Brownie Points S S P

Paper Tower Tournament

S P

Weird Watermelons

S P

A Polygon Party

S P

P = primary skill/concept S = supporting skill/concept


Teacher Tools


Welcome! Thank you for purchasing “Math Logic Puzzles” for 4th grade! I hope it is of value to you and your students! Below are some tips to help you implement the enrichment activities included. If you have any questions, please feel free to contact me; I’d love to hear from you!

This resource includes 14 higher order thinking puzzles designed to challenge and engage your high flyers and fast finishers. Your students will utilize critical thinking and problem solving skills while building a solid understanding of essential math concepts and skills.

Math Logic Puzzles

Math Logic Puzzles are great for:• Math Centers and Stations• Anchor Activities• Cooperative Learning• Independent Enrichment or Extension• Learning Contracts

The activities are directly aligned with the Common Core State Standards shown below. (Please see the Common Core Alignment guide for specifics.)

• 4.NBT.A.2: I can read, write, and compare multi-digit whole numbers.

• 4.NBT.A.3: I can use place value to round multi-digit whole numbers to any place.

• 4.NBT.4: I can fluently add and subtract multi-digit numbers.

• 4.NBT.B.5: I can multiply a whole number of up to four digits by a one-digit whole number.

• 4.NBT.6: I can find whole number quotients with up to four-digit dividends and one-digit divisors.

• 4.OA.4: I can find all factor pairs for a whole number in the range 1-100. I know that a whole number is a multiple of each of its factors.

Teacher Tools


Math Logic Puzzles

• 4.NF.1: I can identify equivalent fractions and explain why they are equal.

• 4.NF.2: I can compare two fractions with different numerators and denominators.

• 4.MD.1: I can identify the relative sizes of measurement units within one system and record equivalent measurements.

• 4.MD.3: I can apply the area and perimeter formulas for rectangles in real world mathematical problems.

• 4.G.1: I can identify parallel and perpendicular lines in two-dimensional figures.

• 4.G.2: I can classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size.

Tips for InstructionHere are a few of the strategies I teach my students to help them be successful with logic elimination grids. You, of course, are the expert on your students, so you will know exactly how much and what kinds of scaffolding they need to be successful. These are just a few suggestions to consider. J

1. Start with the “must be” clues! Some clues are more concrete than others and “must be” only one answer. For example, the number of feet in one yard “must be” 3. I encourage students to seek out the “must be” clues and work from there.

2. Skip and come back to the more abstract clues. Some clues are purposefully more ambiguous than others and do not lead to a clear answer. For example, a clue like, “the digit in the tens place is greater than the digit in the ones place,” could yield many different number pairs. Once students have completed the “must be” clues

Teacher Tools


Math Logic Puzzles

the abstract clues will be much more clear!

3. Read the clues multiple times. This goes right along with tips one and two. Students should re-read the earlier clues in order to apply the information learned from later clues. Re-reading the clues is also an important strategy to help students evaluate the accuracy of their final answer.

4 Eliminate incorrect options. One way to find the correct answer is to eliminate the options that do NOT work. I show my students how to mark incorrect answers with an “x” and correct answers with an “O” or happy face J. Once an “O” is placed in the grid, an “X” can be drawn in all the other boxes in that row and column. Crossing off, or eliminating, options that do not work can help tomake correct answers more readily apparent.

Another elimination strategy is to place the number of the clue used to eliminate it in the grid. This strategy can be helpful when students are attempting to correct a mistake or re-work the problem.

5. Work backwards! Students often tackle a series of problems, or in this case clues, in the order they come; however, sometimes the most helpful clues are at the end! Teaching students how to work backwards to reach a solution is a helpful problem solving strategy for solving these puzzles - and one that they can apply to other contexts as well!

Teacher Tools


6. Model It! Just as you would model any new activity, I recommend demonstrating how to solve a logic puzzle with your students. I specifically model the strategies described above. Once finished, I model how to re-read the clues to be sure the choices we’ve made meet all of the criteria.

Thank you for trusting me with your purchase! If you have any questions, please feel free to contact me; I’d love to hear from you! J

If you enjoy this product, you may also like the following resources. Click on any image below to learn more! christy

Math Logic Puzzles

Logic PUZZLES

Math

Name ___________________

+ - - + + -536 701 915 562 457 1,130367 219 385 219 199 265

Go Green!Directions: Mrs. Mulvey’s 4th grade class collected aluminum cans to recycle. Each student collected a different number of cans. To find out how many cans each student collected, solve the addition and subtraction equations below. Write each answer above a column in the matrix. Then use the clues to determine how many cans each student collected.

Clues: 1. Abby collected more cans than Luis.

2. The number of cans Luis collected would round to 800, if rounded to the nearest hundred.

3. The number of cans Alex collected was a multiple of five, but the total number Cate collected was not.

4. The sum of the digits in Bea’s total was less than 14.

5. The number of cans Chen collected would round to 500 if rounded to the nearest hundred.

6. When looking at her total, Abby noticed that the digit in the tens place was less than the value of the digit in the ones place.

BONUS: How many recycled cans did the students collect all together?

Abby

Luis

Cate

Alex

Bea

Chen

Name: ___________________


12,078

Play Ball!Directions: It was the night of the big soccer game! Six friends tried to estimate how many people were in the crowded stadium. Each friend guessed a different number of people. Use the clues to match each friend with their estimate.

Clues:

1. The number Margot estimated would round to 14,000 if rounded to the nearest thousands place.

2. Theo’s guess would round to 10,000 if rounded to the nearest ten thousands place.

3. The product of the digits in Bryan’s number was > 263, but < 285.

4. The digit in the thousands place of Annie’s estimate is a composite number.

5. The digit in the thousands place of Sally’s number is ½ the value of the digit in the tens place.

Sally

Annie

Margot

Bryan

Theo

Dave

13,84016,951 14,206 15,34014,981


Name: ___________________

$1,091

Puppy LoveDirections: Students at Park Valley School were raising money to help the local animal shelter care for and find homes for animals. Use the clues to determine how much money each student raised to help the shelter.

Clues:

1. The money Henry raised would round to 1,000 if rounded to the nearest thousand.

2. Henry raised more money than John.

3. Savannah noticed that the sum of the digits in her total was eleven.

4. The money Demetrius raised was not a multiple of two or five.

5. The amount of money Layla raised was less than the difference of 2,102 – 1,189.

6. Josie’s total was an even number with 3 odd digits.

Josie

Savannah

Henry

Demetrius

Layla

John

$2,216$934 $897 $1,598$965

Bonus: How much money did the students raise all together?


Name: ___________________

Movie NightDirections: Six movies played at the Carousel Cinema on Friday night. A different number of tickets were purchased for each movie. Use the clues to determine how many tickets were bought for each movie.

Clues:

1. The number of tickets purchased for Aliens would round to 8,000, if rounded to the nearest thousand.

2. More tickets were sold for Labyrinth than Limelight.

3. The number of tickets purchased for Mermaids had a digit in the hundreds place that was 1/3 the value of the digit in the thousands place.

4. The sum of the digits in Limelight’s total ticket sales was greater than 15, but less than 19.

5. All of the digits in the number of tickets purchased for Skyfall were prime numbers.

6. The number of tickets purchased for Zoom would round to 9,000 if rounded to the nearest thousand.

10,462 7,7239,341 8,902 19,3678,315

Mermaids

Limelight

Aliens

Zoom

Labyrinth

Skyfall


Name: ___________________

Street SmartsDirections: Six good friends live on Pine Street. Each friend has a different address. To find out where each friend lives, solve the multiplication equations below. Write each product above a column in the matrix. Then use the clues to determine the address of each friend’s house.

Clues:

1. Alicia’s address is a multiple of 10.

2. The product of the digits in the address of Jose’s house < 45.

3. Solomon’s address would round to 7,000 if rounded to the nearest thousand.

4. The address of Maria’s house is greater than the sum of 9,956 + 11,997.

5. Henry’s address is less than the difference of 38,007 – 17,893.

6. Leah’s address is a multiple of 2, but not of 5.

7. The number on Jose’s house is less than the number on Solomon’s house.

Maria

Solomon

Henry

Jose

Leah

Alicia

1,062 3,145 2,763 6,078 1,690 4,297x 7 x 6 x 8 x 5 x 4 x 3


Name: ___________________

Enjoy the Ride!Directions: Six friends went to the local amusement park. Each friend went on a different number of rides. To find out how many rides each friend rode, solve the long division problems below. Write each answer above a column in the matrix. Then use the clues to determine how many rides each friend rode.

Clues:

1. Riley went on fewer rides than Allison.

2. The number of rides Allison took is a prime number, but the number of rides Charlie took is composite.

3. The number of rides Sam rode is greater than the number of inches in a yard.

4. The number of rides India took would round to 50 if rounded to the nearest tens place.

5. The product of the digits in the total number of rides Jamal took is 32.

Charlie

Riley

Sam

Allison

Jamal

India

112 ÷ 7 = 4 192 424 ÷ 8 =

5 185 288 ÷9 = 6 138


Name: ___________________

8,370 ÷ 3 = 4,442 1,464 814 527 2,838 10,345 1,937 1,678 x 5 x 7 1,426 6,895

14,388 ÷ 6 =

Road Trip!

- + + -

Directions: Over vacation, eight kids traveled to across the United States. To find out how many miles each kid traveled, solve the eight equations below. Write each answer above a column in the matrix. Then use the clues to determine how far each kid went.

Clues:

1. The number of miles Amy traveled would not round to 3,000 if rounded to the nearest thousand.

2. The distance Harper drove was not a multiple of 5.

3. The number of miles Ansel traveled would round to 4,000 if rounded to the nearest thousand.

4. When Joanna looked at her total distance, she noticed that the digit in the thousands place was 1/3 the value of the digit in the ones place.

5. The number of miles Chip and Jae traveled is a multiple of three.

6. Soo traveled farther than Ansel and Jae traveled further than Chip.

7. The sum of the digits in Alex’s number = 18.

Alex

Amy

Jae

Harper

Ansel

Joanna

Chip

Soo


Name: ___________________

Rockin’ ReadersDirections: The Battle of the Books Team at Lincoln Elementary was preparing for the county-wide competition. In order to participate, each student was required to read all the books on the list. Use the clues below to determine what fraction of the total number of books each student has read.

Clues:

1. Caroline and Jessie have read more than 3/5 of the books on the list.

2. Pablo and Zoe have read fewer than 2/3 of the books.

3. Shane has read the least number of books.

4. Pablo has read ½ as many books as William.

5. Neither William nor Skai have read exactly ¾ of the books on the list.

6. Xavier has read more books than Jessie.

7. The fraction of books Jessie read is not in simplest form.

8. The number of books Zoe read is the difference between Jessie and Shane.

Jessie

Xavier

Zoe

Caroline

William

Shane

Skai

Pablo

A g CD HF L S


Name: ___________________

102

Piece of Cake!Directions: The bell rang and the 10th annual cake eating competition was complete! Each participant ate a different amount of cake. Use the clues below to determine how much cake each person ate.

Clues:

1. Kendra ate more cake than Luke.

2. Zuri ate exactly 3½ cakes.

3. Darius ate less than 2 3/8 of cake.

4. Sellers ate more than 1 5/6 of cake.

5. Jimena ate less cake than Zuri.

6. Kendra ate exactly 1 2/3 cakes.

7. The amount of cake Jimena ate was greater than the sum of 1 1/4 + 1 1/8.

Zuri

Luke

Kendra

Sellers

Darius

Jimena

C HF1 2 153

74


Name: ___________________

Pool Party!Directions: It’s summer time and everyone is talking about their favorite place to swim! Each person below likes to swim at a different pool. Use the clues below to determine where each person likes to swim best.

Clues:

1. The perimeter of Destiny’s pool is not the smallest, but it is less than 18.

2. Simon’s pool has the greatest area.

3. The length of the pool Maya likes best is four times the width.

4. The area of Tad’s favorite pool is ½ the size of the area of Maya’s pool.

5. The perimeter of Angel’s pool is a multiple of three.

6. Leslie’s favorite pool has the greatest perimeter.

7. The length of Tony’s pool is one foot longer than the width.

8. The area of Rachel’s pool is a multiple of 4 and 6.

Rachel

Simon

Maya

Angel

Destiny

Tad

Leslie

Tony

A B C D E F G H

A B CD

E F

G H

4 units

4 u

nit

s

2 u

nit

s

area = 18

perimeter= 14

area = 24area = 20

8 units

9 units

4 units

3 u

nit

s

perimeter = 14

4 units

area = 8

5 units

2 u

nit

s


Name: ___________________

Brownie PointsDirections: Mrs. Leed’s students are baking brownies for the school-wide bake sale. Each student made a different number of brownies. Use the table and clues below to determine which pan each student used.

Clues:

1. The area of Oscar’s pan was larger than the area of Marie’s pan.

2. The length of Hector’s pan was twice its width.

3. Marie and Oscar did not use a pan that was square.

4. The perimeter of Jamie’s pan was less than 18.

5. The perimeter of Yaritza’s pan was a factor of 36.

Jade

Oscar

Marie

Hector

Yaritza

Jamie

pan 1 pan 2 pan 3 pan 4 pan 5 pan 6

pan #1 pan #2 pan #3 pan #4 pan #5 pan #6

length 4 in. 6 in. 6 in. 6 in. 5 in. 4 in.

width 9 in. 4 in.

area 36 in. 18 in.

perimeter 20 in. 16 in.


Name: ___________________

Paper Tower TournamentDirections: The STEM challenge was on! Each student was given a piece of paper and 15 cm. of masking tape and asked to build the tallest, free-standing tower possible. Use the clues below to determine the height of each student’s paper tower.

Clues:

1. Conrad’s tower measured less than one yard.

2. The height of Mac’s tower was two times taller than Sophia’s tower.

3. The tower Sophia built was taller than 2½ feet.

4. Lucy’s tower was less than 2/3 of a yard.

5. The tower Sophia built was three times the height of the tower Elvis constructed.

6. The height of Rosio’s tower was a multiple of five.

Lucy

Conrad

Elvis

Rosio

Mac

Sophia

12 in. 24 in. 72 in. 36 in. 18 in. 30 in.


Name: ___________________

Weird WatermelonsDirections: Students were having a terrific time at the fourth grade class picnic! Mrs. Howe, their teacher, had brought a watermelon with a very special slice for each student. Use the clues below to determine which student is eating which slice of watermelon.

Clues:

1. Jason’s watermelon has no right angles.

2. Michael’s watermelon is not a quadrilateral.

3. Lola’s watermelon has an odd number of vertices.

4. Antonio’s watermelon is a rhombus.

5. Amelia’s watermelon has two times as many sides as Audrey’s watermelon.

6. Leu’s watermelon slice has all obtuse angles.

7. Poppy’s watermelon has ½ as many sides as Leu’s.

8. Audrey’s watermelon is a regular polygon with at least one acute angle.

9. Michael’s watermelon has more sides than Poppy’s.

Lola

Jason

Poppy

Michael

Antonio

Audrey

Amelia

Leu


Name: ___________________

A Polygon PartyDirections: Students were cutting out shapes for the annual 4th grade “Polygon Party.” Each polygon was cut from a piece of paper of a different color. Use the clues to determine the unique color of each polygon.

Clues:

1. The polygon cut from blue paper is a quadrilateral.

2. The violet polygon has no obtuse angles.

3. The yellow polygon has no acute angles.

4. The teal polygon is a rectangle.

5. The shape cut from red paper is a rhombus.

6. The orange polygon is a parallelogram.

7. The white polygon has no parallel sides.

8. The violet polygon does not have all equal sides.

9. The yellow polygon has more sides than the green one.

10. The green polygon has more vertices than the violet polygon.

Violet

Orange

Red

Blue

Teal

Green

Yellow

White


Name: ___________________

1. Go Green:

• Abby = 903• Luis = 781• Cate = 656• Alex = 865• Bea = 530• Chen = 482

** 4,217 cans were collected al together

2. Play Ball:

1. Puppy Love:

** $7,701.00 dollars were raised all together

Answer KeyMath Logic Puzzles

4. Movie Night:

5. Street Smarts:

• Maria = 30,390• Solomon = 7,434• Henry = 12,891• Jose = 6,760• Leah = 22,104• Alicia = 18,870

6. Enjoy the Ride!

• Charlie = 32• Riley = 16• Sam = 37• Allison = 23• Jamal = 48• India = 53


7. Road Trip:

• Alex = 2,790• Amy = 2,398• Jae = 3,450• Harper = 3,142• Ansel = 4,070• Joanna = 3,689• Chip = 2,505• Soo = 4,264

8. Rockin’ Readers:

9. Piece of Cake:

Answer KeyMath Logic Puzzles 10. Pool Party:

11. Brownie Points:

A B C D E F G H


Answer KeyMath Logic Puzzles

12. Paper Tower Tournament:

13. Weird Watermelons:

14. A Polygon Party:


christy

Terms of Use:Thank you for choosing to purchase this product! I hope you and your students love it! I appreciate your purchase, feedback, and support If you have any questions or concerns, please let me know! I want you to be 1,000% happy with your purchase. [email protected] J

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Math Logic Puzzles (4th grade) - Cobb Learning

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